Home
Class 11
MATHS
Find the absoloute extremum of f(x) = 4x...

Find the absoloute extremum of `f(x) = 4x - (x^(2))/(2)` on `[-2, (9)/(2)]`.

Text Solution

Verified by Experts

The correct Answer is:
Abosolute minimum = -10, Absolute maximum = 8
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Advanced Subjective Type Questions|60 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|74 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Exercise - 8.1 (Long Answer Questions)|24 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

Find the absolute extreme of f(x)=4x-x^2/2" on "[-2,9/2]

Find the absolute extremum of f(x)=x^(2) is defined on [-2,2]

Discuss the extremum of f(x) = 2x + 3x^(2//3) .

Find the maximum value of f(x) = x^(3)(2-x)^(4)

Find the absolute maximum value and the absolute minimum value of the functions in the given intervals: f(x) = 4x -(1)/(2) x^(2) , x in [-2,(9)/(2)]

Find the maxima or minima of f(x) = x^(3) - 6x^(2) + 9x + 15 .

The point of extremum of f(x)=int_(0)^(x)(t-2)^(2)(t-1)dt is a

Find the domain of f(x)=sqrt((4-x^(2))/([x]+2))

AAKASH SERIES-MAXIMA AND MINIMA -Exercise - 8.2 (Long Answer Questions)
  1. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  2. Find the absolute maximum value and absolute minimum value of the foll...

    Text Solution

    |

  3. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  4. Find the absolute maximum value and absolute minimum value of the foll...

    Text Solution

    |

  5. Find local maximum or local minimum of f(x) = -sin 2x - x defined o [-...

    Text Solution

    |

  6. Use the first derivative test to find the local extrema of f(x) =x^(3)...

    Text Solution

    |

  7. Find the absoloute extremum of f(x) = 4x - (x^(2))/(2) on [-2, (9)/(2)...

    Text Solution

    |

  8. Use the first derivative test to find local extrema of f(x) = x^(2) - ...

    Text Solution

    |

  9. The profit function P (x) of a company selling x items is given by P(x...

    Text Solution

    |

  10. Use the second derivative test to find local extrema of the function f...

    Text Solution

    |

  11. Find the absolute maximum and absolute minimum of f(x) = 2x^(3) - 3x^(...

    Text Solution

    |

  12. Find the positive integers x and y such that x+y=60 " and " xy^(3) is...

    Text Solution

    |

  13. If the curved surface of right circular cylinder inscribed in a sphere...

    Text Solution

    |

  14. The profit function P(x) of a company selling x items per day is given...

    Text Solution

    |

  15. A wire of length l is cut into two parts which are bent respectively i...

    Text Solution

    |

  16. Find the absolute maximum and absolute minimum of f(x) =8x^(3) + 81x^(...

    Text Solution

    |

  17. From a rectangular sheet of dimension 30 cm xx 80 cm, four equal squa...

    Text Solution

    |

  18. Find two positive integers whose sum is 16 and the sum of squares is m...

    Text Solution

    |

  19. A window is in the shap of a rectangle surmounted by a semicircle. If ...

    Text Solution

    |

  20. Find the maximum area of the rectangle that can be formed with fixed p...

    Text Solution

    |